Answer:

And we can use the probability mass function and we got:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:

And we can use the complement rule and we got:

And we can use the probability mass function and we got:
And replacing we got:

10. B
11. D
12. C
13. B
14. B
15. D
Answer:
$22.50....................
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by 
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,

= 
= 
=
= Remainder
Hence, Remainder is 55.